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286225 = 521072
BaseRepresentation
bin1000101111000010001
3112112121221
41011320101
533124400
610045041
72301322
oct1057021
9475557
10286225
11186055
12119781
13a0384
1476449
1559c1a
hex45e11

286225 has 9 divisors (see below), whose sum is σ = 358267. Its totient is φ = 226840.

The previous prime is 286199. The next prime is 286243. The reversal of 286225 is 522682.

The square root of 286225 is 535.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 103041 + 183184 = 321^2 + 428^2 .

It is not a de Polignac number, because 286225 - 217 = 155153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 25 + 83 + 210 + 67 + 212 + 54 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 286225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2622 + ... + 2728.

286225 is a Friedman number, since it can be written as (6+(28-5)^2)^2, using all its digits and the basic arithmetic operations.

2286225 is an apocalyptic number.

286225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

286225 is the 535-th square number.

286225 is the 268-th centered octagonal number.

It is an amenable number.

286225 is a deficient number, since it is larger than the sum of its proper divisors (72042).

286225 is an equidigital number, since it uses as much as digits as its factorization.

286225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The cubic root of 286225 is about 65.9025958360.

Multiplying 286225 by its sum of digits (25), we get a square (7155625 = 26752).

286225 divided by its sum of digits (25) gives a square (11449 = 1072).

The spelling of 286225 in words is "two hundred eighty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 107 535 2675 11449 57245 286225